Step-by-step explanation:
Sin<D = Opposite / Hypotenuse
Opposite - EC
Hyp - DE
Sin<D = EC/DE = x/9
we need x to find <D.
so -->Use pythagorean theorem.
DE^2 = EC^2 + DC^2
DE = 9 DC = 7 EC = ?
EC^2 = DE^2 - DC^2 rearranged.
= 9^2 - 7^2
= 81 - 49
EC^2 = 32 Put both sides under square root.
√(EC^2) = √32
EC = 4√2 ~ 5.65.
We now have X which was representing the unknown side EC.
Sin<D = EC/DE = 5.65/9 = 0.627
To find <D Take the sine inverse of of 0.627.
<D = Arcsin(0.627) = 38.82°.
We now know <D. It's <E's turn.
A right angle triangle has a summation of interior angles of 180°.
thus, <em><D + <C + <E = 180°</em>
38.82° + 90° + <E = 180°
128.82° + <E = 180°
subtract both sides by 128.82°
0 + <E = 180° - 128.82°
<em><E = 51.</em><em>2</em><em>°</em>
Answer:
27.85 remainder 7
Step-by-step explanation: devide something
Rigid motion is the way of moving an object such that after the motion the relative distance between the points stay the same in the same way that the relative position is the same. The answer to this question is dilating the figure by a scale factor of one half.
Answer:
<u>0.7890176%</u>
Step-by-step explanation:
First, there is a 64% chance of failing a test.
Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.
Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%
Now we need to multiply each chance of something happening by one another
64% × 7.4% = 0.04736%
4.736% × 16.66% = 0.7890176%
So there is a 0.7890176% of all of these happening
Answer:
The answer is 
Step-by-step explanation:
Given the graph as shown, we have to find the rate of change between the interval of x=0 and 
.
To find the rate of change we have to find the slope which is given by
= 
= 
=
